#STEPS FOR 3 EQUATION SYSTEMS PLUS#

Let's cancel the -5x within our example by adding 5x to both sides of the equation. This will cancel a term from one side and make the equation into a two-step equation. In order to combine them, we must target one of the variable terms and add its opposite to both sides of the equation. Let's use this example.Įquations of this type have like terms too but these terms are on opposite sides of the equal sign. The procedure is similar to that mentioned immediately above, under solving three-step type 1 equations, but with a slight twist. This is another type of linear equation that can be simplified in such a way that it can be transformed into a two-step equation. Uizmaster: Solving Linear Equations 2 with Help Since both sides of the final, most simplified line, yields the same value, this verifies that x = -4 is a correct solution. Substituting the solution, x = -4 into the original equation yields the following. Each variable must be replaced with the solution and the order of operations must be used to simplify the expression, similar to the steps used for solving two-step equations. The final solution can be checked by substututing it within the original equation wherever the variable is located. Here is a quick summary of that solution. Once this combination occurs, the problem can be solved using the procedure outlined under solving two-step equations above. Those x-terms can be combined, as demonstrated here. Notice that the left side has like terms. For instance, let's examine this example. All we need to do is combine the numbers in front of the variables. The terms that have the exact same variables are called like and can be combined. To solve these equations we must combine like terms. In fact, we can simplify this type of equation into a two-step equation like the type mentioned in the previous section above. This type of three-step linear equation must be simplified in order for it to be solved.

Uizmaster: Solving Linear Equations with Help Therefore, x = -5 is the correct solution.

#STEPS FOR 3 EQUATION SYSTEMS PLUS#

Upon checking we can see that -4 times -5 plus 1 is in fact 21. This allows us to get the solution, x = -5. First we must cancel the addition by 1 by subtracting 1 from both sides. Substituting it into the original equation yields. Using our example above, we can see that our solution, x = -7 is correct because it checks. Once simplified, both sides of the remaining equation should be equal to each other if the original answer is correct.

Then the order of operations is used to simplify the remaining solution. The numeric solution is substituted into the original problem. We must divide both sides by 3.Ī nice fact about solving linear equations is that the solutions can be checked. In order to finish up our example, let's perform the last step. Performing this step allows us to cancel the coefficient. If the variable is being divided by a number, then we multiply both sides of the equation by that number. If the variable is being multiplied by a number, then we divide both sides of the equation by that number. The next step involves cancelling the number next to the variable, and that number is called the coefficient. The subtraction by five can be undone by doing the opposite. To solve for 'x,' we have to do the reverse order of operations. The term that is either adding to or subtracting from the variable must be canceled first by doing the opposite, otherwise known as the inverse operation. When solving linear equations of this form, we must carefully simplify the equation using a special two-step order.

Steps for 3 equation systems